Visualize and explore the properties of Pascal's triangle.
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What is Pascal's Triangle?
Pascal's triangle is a triangular array of binomial coefficients. Each number is the sum of the two numbers directly above it. It has many applications in probability, combinatorics, and algebra.
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Pro Tips
The rows represent the coefficients of binomial expansion (a + b)ⁿ.
The sum of the numbers in any row is a power of 2.
The diagonals contain sequence like counting numbers, triangular numbers, and tetrahedral numbers.
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Fun Facts
"Although named after Blaise Pascal, it was studied centuries earlier in India (the Meru-prastaara), China (Yang Hui's triangle), and Persia."
"The Fibonacci sequence can be found in the shallows diagonals of the triangle."
